Question
A 5,400 W motor is used to do work. If the motor is used for 640 s, about how much work could it do?
8.4 J
4,800 J
6,000 J
3,500,000 J
8.4 J
4,800 J
6,000 J
3,500,000 J
Answers
GPT-4o mini
To find the work done by the motor, we can use the formula:
\[ \text{Work} = \text{Power} \times \text{Time} \]
Where:
- Power is given in watts (W),
- Time is given in seconds (s),
- Work will be in joules (J).
Given:
- Power = 5,400 W
- Time = 640 s
Now, calculating the work:
\[
\text{Work} = 5,400 \, \text{W} \times 640 \, \text{s}
\]
\[
\text{Work} = 3,456,000 \, \text{J}
\]
The closest option to our calculated value is **3,500,000 J**.
Therefore, the answer is **3,500,000 J**.
\[ \text{Work} = \text{Power} \times \text{Time} \]
Where:
- Power is given in watts (W),
- Time is given in seconds (s),
- Work will be in joules (J).
Given:
- Power = 5,400 W
- Time = 640 s
Now, calculating the work:
\[
\text{Work} = 5,400 \, \text{W} \times 640 \, \text{s}
\]
\[
\text{Work} = 3,456,000 \, \text{J}
\]
The closest option to our calculated value is **3,500,000 J**.
Therefore, the answer is **3,500,000 J**.